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Finding the Fourth Proportional to 589,954.60, 884,759.10 and 274,335.40

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Solution

The fourth proportional to 589,954.60, 884,759.10 and 274,335.40 is: 411,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,954.60 : 884,759.10 = 274,335.40 : x
  2. Step 2: Convert to fraction form
    589,954.60/884,759.10 = 274,335.40/x
  3. Step 3: Cross multiply
    589,954.60x = 884,759.10 × 274,335.40
  4. Step 4: Simplify right side
    589,954.60x = 242,720,741,602.14
  5. Step 5: Solve for x
    x = 242,720,741,602.14/589,954.60
  6. Step 6: Final answer
    x = 411,422.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.